Question

Directions: Solve for x.
10.
25
48
X
30

Answer 1

x = 57.6

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Explanation:

The given diagram shows three parallel lines cut by two transversals.

To find the value of x, we can use the theorem that states that if two or more parallel lines are cut by two transversals, then the parallel lines divide the transversals proportionally.

Therefore:

`x:30=48:25`

`(x)/(30)=(48)/(25)`

To solve for x, multiply both sides of the equation by 48:

`\begin{aligned} (x)/(30)\cdot 30&=(48)/(25) \cdot 30\\\\x &=(1440)/(25)\\\\x &=(1440/ 5)/(25/ 5)\\\\x &=(288)/(5)\\\\x &=57.6\end{aligned}`

Therefore, the value of x is 57.6.